Recently, there has been an intense investigation both in the physical underpinnings and control of artificial spin ices and their emergent interactions [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, with a broad interest in applications, ranging from topological order [18]}, [19]}, memory in materials [20]}, [21]}, disordered systems and slow relaxation [22]}, novel resistive switching [23]}, [24]}, and embedding logic circuits in the magnetic substrate [25]}, [26]}, [27]}, [28]}. These new materials are highly controllable [29]}, [30]}, [31]}, [32]}, [14]}, [34]}, [35]} and can be used to realize novel models via engineering geometric frustration [14]}, [37]}, [38]}, [39]}.
